Quiz 1: Completing the Square

What is the initial step when solving a quadratic equation of the form ax^2 + bx + c = 0 by completing the square, assuming a=1?

• Divide all terms by the coefficient of x^2.

• Transpose the constant term to the right side of the equation.

• Take the square root of both sides.

• Factor the quadratic expression.

What formula is used to find the third term that completes the square for a quadratic expression in the form ax^2 + bx + c?

• (b/2)^2

• b^2 - 4ac

• -b ± sqrt(b^2 - 4ac) / 2a

• c/a

For the equation x^2 + 6x - 2 = 0, what is the value of the third term needed to complete the square on the left side?

• 3

• 6

• 9

• 12

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How is the perfect square trinomial x^2 + 6x + 9 expressed as a square of a binomial?

• (x - 3)^2

• (x + 6)^2

• (x + 3)^2

• (x - 6)^2

After taking the square root of both sides of (x + 3)^2 = 11, what is the final step to solve for x?

• Add 3 to both sides.

• Subtract 3 from both sides.

• Multiply both sides by 3.

• Divide both sides by 3.